A note on Hopf bifurcations in a delayed diffusive Lotka-Volterra predator-prey system
Computers & Mathematics with Applications
The diffusive Lotka-Volterra predator-prey system with two delays is reconsidered here. The stability of the coexistence equilibrium and associated Hopf bifurcation are investigated by analyzing the characteristic equations, and our results complement earlier ones. We also obtain that in a special case, a Hopf bifurcation of spatial inhomogeneous periodic solutions occurs in the system. (C) 2011 Elsevier Ltd. All rights reserved.
Chen, Shanshan; Wei, Junjie; and Shi, Junping, A note on Hopf bifurcations in a delayed diffusive Lotka-Volterra predator-prey system (2011). Computers & Mathematics with Applications, 62(5), 2240-2245.